8266073147640 has 2304 divisors, whose sum is σ = 38726952768000. Its totient is φ = 1545323028480.

The previous prime is 8266073147627. The next prime is 8266073147701. The reversal of 8266073147640 is 467413706628.

8266073147640 is a `hidden beast` number, since 8 + 2 + 6 + 60 + 73 + 1 + 476 + 40 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 5235004371 + ... + 5235005949.

It is an arithmetic number, because the mean of its divisors is an integer number (16808573250).

Almost surely, 2^{8266073147640} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8266073147640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19363476384000).

8266073147640 is an abundant number, since it is smaller than the sum of its proper divisors (30460879620360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8266073147640 is a wasteful number, since it uses less digits than its factorization.

8266073147640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1687 (or 1647 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 8266073147640 in words is "eight trillion, two hundred sixty-six billion, seventy-three million, one hundred forty-seven thousand, six hundred forty".